NDA2022General AbilityGeneral ScienceActual
Two convex lenses have focal lengths of 50 cm and 25 cm ,respectively. If these two lenses are placed in contact, then the net power of this combination will be equal to
Options
- A+2 dioptre
- B+6 dioptre
- C-6 dioptre
- D+3 dioptre
Correct answer
B. +6 dioptre
Step-by-step solution
The focal length ( F ) of the combined convex lens is given by formula, 1 / F =1 / fl +1 / f 2 (where f 1 and f 2 are the foal lengths of individual lens) Then the combined focal length will be Combined focal length ( F ):= fl 1 f 2 /[ f 1+ f 2]=50 25 /(50+25)=1250 / 75=50 / 3 ~cm =1 / 6 metre The power of the lens is calculated in Diopters (d) if the focal length is given in meters and written as P =1 / F therefore the power of the combined lens will be +6 D